A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions
Abstract In the present article, a spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combinations with arbitrary boundary conditions is presented. The classical theory of small displacements of thin shells is employed to formulate the theoretical mode...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhao, Yunke [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2017 |
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| Schlagwörter: |
Conical–cylindrical–spherical shell |
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| Anmerkung: |
© Springer-Verlag Berlin Heidelberg 2017 |
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| Übergeordnetes Werk: |
Enthalten in: Archive of applied mechanics - Springer Berlin Heidelberg, 1991, 87(2017), 6 vom: 08. Feb., Seite 961-988 |
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| Übergeordnetes Werk: |
volume:87 ; year:2017 ; number:6 ; day:08 ; month:02 ; pages:961-988 |
| Links: |
|---|
| DOI / URN: |
10.1007/s00419-017-1225-1 |
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| Katalog-ID: |
OLC2071060369 |
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| 245 | 1 | 0 | |a A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions |
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| 520 | |a Abstract In the present article, a spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combinations with arbitrary boundary conditions is presented. The classical theory of small displacements of thin shells is employed to formulate the theoretical model. The admissible functions of each shell components are described as a combination of a two-dimensional (2-D) Fourier cosine series and auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to accelerate the convergence of the series representations and eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and the junction between the shell components. The artificial spring technique is adopted here to model the boundary condition and coupling condition, respectively. All the expansion coefficients are considered as the generalized coordinates and determined by Ritz procedure. Convergence and comparison studies for both open and closed conical–cylindrical–spherical shells with arbitrary boundary conditions are carried out to verify the reliability and accuracy of the present solutions. Some selected mode shapes are illustrated to enhance the understanding of the research topic. It is found the present method exhibits stable and rapid convergence characteristics, and the present results, including the natural frequencies and the mode shapes, agree closely with those solutions obtained from the finite element analyses and results in the literature. The effects of the geometrical dimensions of the shell combinations on the natural frequencies are also investigated. | ||
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| 650 | 4 | |a Conical–cylindrical–spherical shell | |
| 650 | 4 | |a A spectro-geometric-Ritz method | |
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| 700 | 1 | |a Shi, Dongyan |4 aut | |
| 700 | 1 | |a Meng, Huan |4 aut | |
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10.1007/s00419-017-1225-1 doi (DE-627)OLC2071060369 (DE-He213)s00419-017-1225-1-p DE-627 ger DE-627 rakwb eng 690 VZ Zhao, Yunke verfasserin aut A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2017 Abstract In the present article, a spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combinations with arbitrary boundary conditions is presented. The classical theory of small displacements of thin shells is employed to formulate the theoretical model. The admissible functions of each shell components are described as a combination of a two-dimensional (2-D) Fourier cosine series and auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to accelerate the convergence of the series representations and eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and the junction between the shell components. The artificial spring technique is adopted here to model the boundary condition and coupling condition, respectively. All the expansion coefficients are considered as the generalized coordinates and determined by Ritz procedure. Convergence and comparison studies for both open and closed conical–cylindrical–spherical shells with arbitrary boundary conditions are carried out to verify the reliability and accuracy of the present solutions. Some selected mode shapes are illustrated to enhance the understanding of the research topic. It is found the present method exhibits stable and rapid convergence characteristics, and the present results, including the natural frequencies and the mode shapes, agree closely with those solutions obtained from the finite element analyses and results in the literature. The effects of the geometrical dimensions of the shell combinations on the natural frequencies are also investigated. Vibration analysis Conical–cylindrical–spherical shell A spectro-geometric-Ritz method Arbitrary boundary conditions Shi, Dongyan aut Meng, Huan aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 87(2017), 6 vom: 08. Feb., Seite 961-988 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:87 year:2017 number:6 day:08 month:02 pages:961-988 https://doi.org/10.1007/s00419-017-1225-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 AR 87 2017 6 08 02 961-988 |
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10.1007/s00419-017-1225-1 doi (DE-627)OLC2071060369 (DE-He213)s00419-017-1225-1-p DE-627 ger DE-627 rakwb eng 690 VZ Zhao, Yunke verfasserin aut A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2017 Abstract In the present article, a spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combinations with arbitrary boundary conditions is presented. The classical theory of small displacements of thin shells is employed to formulate the theoretical model. The admissible functions of each shell components are described as a combination of a two-dimensional (2-D) Fourier cosine series and auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to accelerate the convergence of the series representations and eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and the junction between the shell components. The artificial spring technique is adopted here to model the boundary condition and coupling condition, respectively. All the expansion coefficients are considered as the generalized coordinates and determined by Ritz procedure. Convergence and comparison studies for both open and closed conical–cylindrical–spherical shells with arbitrary boundary conditions are carried out to verify the reliability and accuracy of the present solutions. Some selected mode shapes are illustrated to enhance the understanding of the research topic. It is found the present method exhibits stable and rapid convergence characteristics, and the present results, including the natural frequencies and the mode shapes, agree closely with those solutions obtained from the finite element analyses and results in the literature. The effects of the geometrical dimensions of the shell combinations on the natural frequencies are also investigated. Vibration analysis Conical–cylindrical–spherical shell A spectro-geometric-Ritz method Arbitrary boundary conditions Shi, Dongyan aut Meng, Huan aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 87(2017), 6 vom: 08. Feb., Seite 961-988 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:87 year:2017 number:6 day:08 month:02 pages:961-988 https://doi.org/10.1007/s00419-017-1225-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 AR 87 2017 6 08 02 961-988 |
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10.1007/s00419-017-1225-1 doi (DE-627)OLC2071060369 (DE-He213)s00419-017-1225-1-p DE-627 ger DE-627 rakwb eng 690 VZ Zhao, Yunke verfasserin aut A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2017 Abstract In the present article, a spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combinations with arbitrary boundary conditions is presented. The classical theory of small displacements of thin shells is employed to formulate the theoretical model. The admissible functions of each shell components are described as a combination of a two-dimensional (2-D) Fourier cosine series and auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to accelerate the convergence of the series representations and eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and the junction between the shell components. The artificial spring technique is adopted here to model the boundary condition and coupling condition, respectively. All the expansion coefficients are considered as the generalized coordinates and determined by Ritz procedure. Convergence and comparison studies for both open and closed conical–cylindrical–spherical shells with arbitrary boundary conditions are carried out to verify the reliability and accuracy of the present solutions. Some selected mode shapes are illustrated to enhance the understanding of the research topic. It is found the present method exhibits stable and rapid convergence characteristics, and the present results, including the natural frequencies and the mode shapes, agree closely with those solutions obtained from the finite element analyses and results in the literature. The effects of the geometrical dimensions of the shell combinations on the natural frequencies are also investigated. Vibration analysis Conical–cylindrical–spherical shell A spectro-geometric-Ritz method Arbitrary boundary conditions Shi, Dongyan aut Meng, Huan aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 87(2017), 6 vom: 08. Feb., Seite 961-988 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:87 year:2017 number:6 day:08 month:02 pages:961-988 https://doi.org/10.1007/s00419-017-1225-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 AR 87 2017 6 08 02 961-988 |
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10.1007/s00419-017-1225-1 doi (DE-627)OLC2071060369 (DE-He213)s00419-017-1225-1-p DE-627 ger DE-627 rakwb eng 690 VZ Zhao, Yunke verfasserin aut A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2017 Abstract In the present article, a spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combinations with arbitrary boundary conditions is presented. The classical theory of small displacements of thin shells is employed to formulate the theoretical model. The admissible functions of each shell components are described as a combination of a two-dimensional (2-D) Fourier cosine series and auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to accelerate the convergence of the series representations and eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and the junction between the shell components. The artificial spring technique is adopted here to model the boundary condition and coupling condition, respectively. All the expansion coefficients are considered as the generalized coordinates and determined by Ritz procedure. Convergence and comparison studies for both open and closed conical–cylindrical–spherical shells with arbitrary boundary conditions are carried out to verify the reliability and accuracy of the present solutions. Some selected mode shapes are illustrated to enhance the understanding of the research topic. It is found the present method exhibits stable and rapid convergence characteristics, and the present results, including the natural frequencies and the mode shapes, agree closely with those solutions obtained from the finite element analyses and results in the literature. The effects of the geometrical dimensions of the shell combinations on the natural frequencies are also investigated. Vibration analysis Conical–cylindrical–spherical shell A spectro-geometric-Ritz method Arbitrary boundary conditions Shi, Dongyan aut Meng, Huan aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 87(2017), 6 vom: 08. Feb., Seite 961-988 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:87 year:2017 number:6 day:08 month:02 pages:961-988 https://doi.org/10.1007/s00419-017-1225-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 AR 87 2017 6 08 02 961-988 |
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10.1007/s00419-017-1225-1 doi (DE-627)OLC2071060369 (DE-He213)s00419-017-1225-1-p DE-627 ger DE-627 rakwb eng 690 VZ Zhao, Yunke verfasserin aut A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions 2017 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2017 Abstract In the present article, a spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combinations with arbitrary boundary conditions is presented. The classical theory of small displacements of thin shells is employed to formulate the theoretical model. The admissible functions of each shell components are described as a combination of a two-dimensional (2-D) Fourier cosine series and auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to accelerate the convergence of the series representations and eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and the junction between the shell components. The artificial spring technique is adopted here to model the boundary condition and coupling condition, respectively. All the expansion coefficients are considered as the generalized coordinates and determined by Ritz procedure. Convergence and comparison studies for both open and closed conical–cylindrical–spherical shells with arbitrary boundary conditions are carried out to verify the reliability and accuracy of the present solutions. Some selected mode shapes are illustrated to enhance the understanding of the research topic. It is found the present method exhibits stable and rapid convergence characteristics, and the present results, including the natural frequencies and the mode shapes, agree closely with those solutions obtained from the finite element analyses and results in the literature. The effects of the geometrical dimensions of the shell combinations on the natural frequencies are also investigated. Vibration analysis Conical–cylindrical–spherical shell A spectro-geometric-Ritz method Arbitrary boundary conditions Shi, Dongyan aut Meng, Huan aut Enthalten in Archive of applied mechanics Springer Berlin Heidelberg, 1991 87(2017), 6 vom: 08. Feb., Seite 961-988 (DE-627)130929700 (DE-600)1056088-9 (DE-576)02508755X 0939-1533 nnns volume:87 year:2017 number:6 day:08 month:02 pages:961-988 https://doi.org/10.1007/s00419-017-1225-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-UMW SSG-OLC-ARC SSG-OLC-TEC GBV_ILN_30 GBV_ILN_70 GBV_ILN_150 GBV_ILN_267 GBV_ILN_2016 GBV_ILN_2018 GBV_ILN_2119 GBV_ILN_2333 GBV_ILN_4277 GBV_ILN_4313 AR 87 2017 6 08 02 961-988 |
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690 VZ A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions Vibration analysis Conical–cylindrical–spherical shell A spectro-geometric-Ritz method Arbitrary boundary conditions |
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ddc 690 misc Vibration analysis misc Conical–cylindrical–spherical shell misc A spectro-geometric-Ritz method misc Arbitrary boundary conditions |
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ddc 690 misc Vibration analysis misc Conical–cylindrical–spherical shell misc A spectro-geometric-Ritz method misc Arbitrary boundary conditions |
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ddc 690 misc Vibration analysis misc Conical–cylindrical–spherical shell misc A spectro-geometric-Ritz method misc Arbitrary boundary conditions |
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A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions |
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A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions |
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Zhao, Yunke |
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Archive of applied mechanics |
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Zhao, Yunke Shi, Dongyan Meng, Huan |
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10.1007/s00419-017-1225-1 |
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690 |
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a unified spectro-geometric-ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions |
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A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions |
| abstract |
Abstract In the present article, a spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combinations with arbitrary boundary conditions is presented. The classical theory of small displacements of thin shells is employed to formulate the theoretical model. The admissible functions of each shell components are described as a combination of a two-dimensional (2-D) Fourier cosine series and auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to accelerate the convergence of the series representations and eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and the junction between the shell components. The artificial spring technique is adopted here to model the boundary condition and coupling condition, respectively. All the expansion coefficients are considered as the generalized coordinates and determined by Ritz procedure. Convergence and comparison studies for both open and closed conical–cylindrical–spherical shells with arbitrary boundary conditions are carried out to verify the reliability and accuracy of the present solutions. Some selected mode shapes are illustrated to enhance the understanding of the research topic. It is found the present method exhibits stable and rapid convergence characteristics, and the present results, including the natural frequencies and the mode shapes, agree closely with those solutions obtained from the finite element analyses and results in the literature. The effects of the geometrical dimensions of the shell combinations on the natural frequencies are also investigated. © Springer-Verlag Berlin Heidelberg 2017 |
| abstractGer |
Abstract In the present article, a spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combinations with arbitrary boundary conditions is presented. The classical theory of small displacements of thin shells is employed to formulate the theoretical model. The admissible functions of each shell components are described as a combination of a two-dimensional (2-D) Fourier cosine series and auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to accelerate the convergence of the series representations and eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and the junction between the shell components. The artificial spring technique is adopted here to model the boundary condition and coupling condition, respectively. All the expansion coefficients are considered as the generalized coordinates and determined by Ritz procedure. Convergence and comparison studies for both open and closed conical–cylindrical–spherical shells with arbitrary boundary conditions are carried out to verify the reliability and accuracy of the present solutions. Some selected mode shapes are illustrated to enhance the understanding of the research topic. It is found the present method exhibits stable and rapid convergence characteristics, and the present results, including the natural frequencies and the mode shapes, agree closely with those solutions obtained from the finite element analyses and results in the literature. The effects of the geometrical dimensions of the shell combinations on the natural frequencies are also investigated. © Springer-Verlag Berlin Heidelberg 2017 |
| abstract_unstemmed |
Abstract In the present article, a spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combinations with arbitrary boundary conditions is presented. The classical theory of small displacements of thin shells is employed to formulate the theoretical model. The admissible functions of each shell components are described as a combination of a two-dimensional (2-D) Fourier cosine series and auxiliary functions. As an innovative point of this work, the auxiliary functions are introduced to accelerate the convergence of the series representations and eliminate all the relevant discontinuities with the displacement and its derivatives at the boundaries and the junction between the shell components. The artificial spring technique is adopted here to model the boundary condition and coupling condition, respectively. All the expansion coefficients are considered as the generalized coordinates and determined by Ritz procedure. Convergence and comparison studies for both open and closed conical–cylindrical–spherical shells with arbitrary boundary conditions are carried out to verify the reliability and accuracy of the present solutions. Some selected mode shapes are illustrated to enhance the understanding of the research topic. It is found the present method exhibits stable and rapid convergence characteristics, and the present results, including the natural frequencies and the mode shapes, agree closely with those solutions obtained from the finite element analyses and results in the literature. The effects of the geometrical dimensions of the shell combinations on the natural frequencies are also investigated. © Springer-Verlag Berlin Heidelberg 2017 |
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A unified spectro-geometric-Ritz solution for free vibration analysis of conical–cylindrical–spherical shell combination with arbitrary boundary conditions |
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